CBSE Class 10 Answered
a man employed to count Rs.10710. He counts at the rate of of Rs.180 per minute for half an hour. After this he counts at the rate of Rs.3 less every minute than the preceding minute. find the time taken by him to count the entire amount
Asked by khushboo panwar | 15 Mar, 2011, 12:00: AM
Expert Answer
Dear Student,
Here is the solution:
money counted in first 30 minutes=180x30=5400
money remained to be counted=10710-5400=5310
the further counting forms an AP,
first term=5310, second term=5307, 5304, .......... 0(last term)
where d=-3, first term=5310,an=0
an=a+(n-1)d
0=5310+(n-1)(-3)
solving for n, we get n=1771
total time taken for counting = 30 min+1771 min=1801 minutes
Hope this helps.
Regards
Team Topperlearning.
Answered by | 16 Mar, 2011, 07:53: AM
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